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Condensates of atoms with spins can have vortices of several types; these are related to the symmetry group of the atoms' ground state. We discuss how, when a condensate is placed in a small magnetic field that breaks the spin symmetry,…

Superconductivity · Physics 2013-05-29 Ari M. Turner , Eugene Demler

Spin ices, frustrated magnetic materials analogous to common water ice, are exemplars of high frustration in three dimensions. Recent experimental studies of the low-temperature properties of the paradigmatic Dy$_2$Ti$_2$O$_7$ spin ice…

Statistical Mechanics · Physics 2016-01-19 P. Henelius , T. Lin , M. Enjalran , Z. Hao , J. G. Rau , J. Altosaar , F. Flicker , T. Yavors'kii , M. J. P. Gingras

Tb2Ti2O7 is a pyrochlore antiferromagnet that has dynamical spins and only short-range correlations even at 50 mK; the lowest temperature explored so far, which is much smaller than the scale set by the Curie-Weiss temperature T_{CW}~14 K.…

Statistical Mechanics · Physics 2009-12-16 Hamid R. Molavian , Paul A. McClarty , Michel J. P. Gingras

Spin ice is a paradigmatic frustrated system famous for the emergence of magnetic monopoles and a large magnetic entropy at low temperatures. It exhibits unusual behavior in the presence of an external magnetic field as a result of the…

Strongly Correlated Electrons · Physics 2024-06-05 Mark Potts , Owen Benton

The pyrochlore material $\rm Ho_{2}Ti_{2}O_{7}$ has been suggested to show ``spin ice'' behaviour. We present neutron scattering and specific heat results that establish unambiguously that Ho$_2$Ti$_2$O$_7$ exhibits spin ice correlations at…

The Ising antiferromagnets on the triangular and on the pyrochlore lattices are two of the most iconic examples of magnetic frustration, paradigmatically illustrating many exotic properties such as emergent gauge fields, fractionalisation,…

Strongly Correlated Electrons · Physics 2024-02-02 Jonathan N. Hallén , Claudio Castelnovo , Roderich Moessner

The spin ice compound Dy$_2$Ti$_2$O$_7$ is well-known to realise a three-dimensional Coulomb spin liquid with magnetically charged monopole excitations. Its fate at low temperatures, however, remains an intriguing open question. Based on a…

Structure with orbital degeneracy is unstable toward spontaneous distortion. Such orbital correlation usually has a much higher energy scale than spins, and therefore, magnetic transition takes place at a much lower temperature, almost…

Strongly Correlated Electrons · Physics 2018-10-11 Huiyuan Man , Mario Halim , Hiroshi Sawa , Masayuki Hagiwara , Yusuke Wakabayashi , Satoru Nakatsuji

We study the ground-state properties of a family of frustrated spin-1/2 Heisenberg models on two- and three-dimensional decorated lattices composed of connected star-shaped units. Each star is built from edge-sharing triangles with an…

Strongly Correlated Electrons · Physics 2026-02-10 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev

Spin ices are exotic phases of matter characterized by frustrated spins obeying local ice rules, in analogy with the electric dipoles in water ice. In two dimensions, one can similarly define ice rules for in-plane Ising-like spins arranged…

We use numerical linked cluster (NLC) expansions to compute the specific heat, C(T), and entropy, S(T), of a quantum spin ice model of Yb2Ti2O7 using anisotropic exchange interactions recently determined from inelastic neutron scattering…

Strongly Correlated Electrons · Physics 2012-10-11 R. Applegate , N. R. Hayre , R. R. P. Singh , T. Lin , A. G. R. Day , M. J. P. Gingras

Thermodynamic properties of the twisted three-leg spin tube under magnetic field are studied by the finite-$T$ density-matrix renormalization group method. The specific heat, spin, and chiral susceptibilities of the infinite system are…

Strongly Correlated Electrons · Physics 2018-05-23 Takuya Ito , Chihiro Iino , Naokazu Shibata

The application of a magnetic field along the [111] direction in the spin ice compounds leads to two magnetization plateaux, in the first of which the ground state entropy is reduced but still remains extensive. We observe that under…

Statistical Mechanics · Physics 2007-05-23 R. Moessner , S. L. Sondhi

The spin-1/2 Ising-Heisenberg tetrahedral chain is exactly solved using its local gauge symmetry, which enables one to establish a rigorous mapping with the corresponding chain of composite Ising spins tractable within the transfer-matrix…

Statistical Mechanics · Physics 2013-04-09 Onofre Rojas , Jozef Strecka , Marcelo L. Lyra

We formulate statistical mechanics for the mixed diamond chain with spins of magnitudes 1 and 1/2. Owing to a series of conservation laws, any eigenstate of this system is decomposed into eigenstates of finite odd-length spin-1 chains. The…

Strongly Correlated Electrons · Physics 2010-03-29 Kazuo Hida , Ken'ichi Takano , Hidenori Suzuki

At low temperatures, a spin ice enters a Coulomb phase - a state with algebraic correlations and topologically constrained spin configurations. In Ho2Ti2O7, we have observed experimentally that this process is accompanied by a non-standard…

Abstract We present finite-temperature Monte Carlo studies of a 2D random-anisotropy magnet on lattices containing one million spins. The correlated spin-glass state predicted by analytical theories is reproduced in simulations, as are the…

Materials Science · Physics 2025-02-14 Dmitry A. Garanin , Eugene M. Chudnovsky

We introduce a new classical spin liquid on the pyrochlore lattice by extending spin ice with further neighbour interactions. We find that this disorder free spin model exhibits a form of dynamical heterogeneity with extremely slow…

Statistical Mechanics · Physics 2016-08-01 Jeffrey G. Rau , Michel J. P. Gingras

The nature of ordering in dilute dipolar interacting systems dates back to the work of Debye and is one of the most basic, oldest and as-of-yet unsettled problems in magnetism. While spin-glass order is readily observed in several…

Disordered Systems and Neural Networks · Physics 2014-10-30 Juan Carlos Andresen , Helmut G. Katzgraber , Vadim Oganesyan , Moshe Schechter

We present an experimental determination of the isothermal magnetic susceptibility of the spin ice materials Dy2Ti2O7 and Ho2Ti2O7 in the temperature range 1.8-300 K. The use of spherical crystals has allowed the accurate correction for…

Strongly Correlated Electrons · Physics 2013-09-02 L. Bovo , L. D. C. Jaubert , P. C. W. Holdsworth , S. T. Bramwell